145564512 has 96 divisors (see below), whose sum is σ = 397135872. Its totient is φ = 46646784.

The previous prime is 145564481. The next prime is 145564513. The reversal of 145564512 is 215465541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×145564512³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145564513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379873 + ... + 380255.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^145564512 is an apocalyptic number.

145564512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145564512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936).

145564512 is an abundant number, since it is smaller than the sum of its proper divisors (251571360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145564512 is a wasteful number, since it uses less digits than its factorization.

145564512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 145564512 is about 12065.0118939021. The cubic root of 145564512 is about 526.0396775960.

The spelling of 145564512 in words is "one hundred forty-five million, five hundred sixty-four thousand, five hundred twelve".